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Finding the Fourth Proportional to 448.64, 671.52 and 318.32

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Solution

The fourth proportional to 448.64, 671.52 and 318.32 is: 476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.64 : 671.52 = 318.32 : x
  2. Step 2: Convert to fraction form
    448.64/671.52 = 318.32/x
  3. Step 3: Cross multiply
    448.64x = 671.52 × 318.32
  4. Step 4: Simplify right side
    448.64x = 213,758.25
  5. Step 5: Solve for x
    x = 213,758.25/448.64
  6. Step 6: Final answer
    x = 476.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.